The 13th New York State Legislature, consisting of the New York State Senate and the New York State Assembly, met from July 6, 1789, to April 6, 1790, during the thirteenth year of George Clinton's governorship, first in Albany, then in New York City.

Under the provisions of the New York Constitution of 1777, the State Senators were elected on general tickets in the senatorial districts, and were then divided into four classes. Six senators each drew lots for a term of 1, 2, 3 or 4 years and, beginning at the election in April 1778, every year six Senate seats came up for election to a four-year term. Assemblymen were elected countywide on general tickets to a one-year term, the whole assembly being renewed annually.

In March 1786, the Legislature enacted that future Legislatures meet on the first Tuesday of January of each year unless called earlier by the governor. No general meeting place was determined, leaving it to each Legislature to name the place where to reconvene, and if no place could be agreed upon, the Legislature should meet again where it adjourned.

A Convention met from June 17 to July 26, 1788, at Poughkeepsie, and ratified the U.S. Constitution by a vote of 30 to 27. This was the first time that the politicians were divided into two opposing political parties: those who advocated the creation of a stronger federal government and the adoption of the US Constitution, as drafted, were henceforth known as Federalists, those who advocated stronger State governments and demanded many changes to the proposed Constitution as Anti-Federalists, or Democratic-Republicans.

On January 27, 1789, the Legislature divided the State of New York into six congressional districts, and the first congressional elections in New York were held on March 3 and 4, 1789. But after a lengthy debate of "An act for prescribing the times, places and manner of holding elections for Senators of the United States of America, to be chosen in this State", the Legislature adjourned without having elected U.S. Senators. The Anti-Federalist Assembly majority and the Federalist Senate majority agreed to adjourn earlier than usual, leaving it to the new members to find a way out of the deadlock. On June 6, Gov. George Clinton called for a special session of the Legislature to meet on July 6, only a few days after the new members' term would begin.

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